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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 58v

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.75.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 57r); this page is its left half.

The machine reads it as

  1. +9. 30.50.56 abvD
  2. = 12- 12, 30aV
  3. 2. 12.50. 5b aacV
  4. X30156,56 a abB
  5. F2. 12. 20. 30 +aV
  6. =2, (2. 40. 30 anv
  7. +2. 12 50.60 acV
  8. = 2. 30. 56. 60 a b V
  9. +2. 20. 50. 56 ac V
  10. 2 40.50. 56 ab
  11. Respondent in Numerator V ipsi _,
  12. in Nominatore vn ipsi
  13. permulatido b, 1
  14. = 203+ tra
  15. a +60Z+56a
  16. 20. 7oV f 10, 21a BV + 20. 72 aaV + 20eB a
  17. + 12. 80a vY + 12. 81 aa V + 12. 82 a
  18. 2 40. 8op F 50. 81 avv +50. 82 aab
  19. 60. 701 + 6071 avv + 60. 72 aav +60.7sa3
  20. x- C
  21. + .80 avv +56. 81 aaV + 56. 82a
  22. +12. 12.+0a
  23. 40- 5b. 5bcab
  24. +2 12. 56.60 aac
  25. A20.56. 56 aac
  26. et WV ipsi V
  27. 130.d 430. 81aon +30 6dda
  28. +50. 8op +et. ut ru in C
  29. 20. 7013 + 20. 2) aBH etc. in, 4a20v + erc
  30. qu (50. 80v7 + etc)
  31. Ve - 2, S5 1et 2 , 12 - 2, 9+ , (7) 18+ 8, a), 19. E
  32. 12. 70 = 4. qu. cob cub. (8 +∞) a
  33. 30= 2....
  34. +98- 35,., 873
  35. . . . . . , 45: ) 6- 89 15 -98 :1 3 8
  36. 50. 36 = Gis 2Z - qu 89- 5 3) p. esH = qu (. 7
  37. a 1. 12. 18. 30 a + 1 s∞. 50Z = 236. 568 - ali s 15) gu 9. 51 147 24
  38. C)omit qu 57 + 88- 5E) 1. du D r
  39. td a sa qu (97 -G 2 + 95)
  40. poneado 50 = 40
  41. Resumamastres aequationes, et videamus quid prodeat en se
  42. 60. 60 = Ge. 40 (42) Cqu 40):, 1t0 ( 20)) = 20 a + 2(20 +0, aa: B B fil 40, 40 3 Vo a o t P 2u ost. 40
  43. Et fret 10. 20YY + . 40Bβ = 20. 40) seu 2 ort 40. 40- 2. 40. 2677: 8
  44. B) 1 37 + VNC)V- (3
  45. undi 6000 102 7 60.60ββ: 20 20na=
  46. 2d. 20: = 10. 20B L-1. 20 2 v da
  47. EY + VHC-8() -CB est -) vr +y79. 1) . B
  48. ita obtinetur extrahibilitas et fit V = Y(VV-2B)( 160. 204. Hnc 60140 = a Y se. 60= 40a:Y 33
  49. et 20 = 40 βB: (V+ Se (C) posset fieri 20 = 3β: V et 40 ) + sCYy - B() et 6d = Y y + t- 30): Y
  50. nisi malimus 20 esse B(3, et A0 esse Vy +V. Sevy BB) et 60 elleas + at VV - (3B)
  51. dendamus jam an aequationem tertiam ubi sit
  52. 12 (2. 40. 20aq = 40140 ac - 60. 60773 = 2.56. 60, 2077 - +0sp
  53. Haer tota caquatuo, dividi potest per P+ (∞y- BB) quia hoc in 402 et in 60 et explicando fiet
  54. 1 C2 BBga)aa + cvr Best ) pe (Y + +CVP. BC) 2 56a (P By V - pCA = EBY (NX - 11) A)
  55. in lit 12C ad C ADX + a (Y,. BB) =. 16β3(LYy - 2B) quod totum dividendo per VY. (33)
  56. tit 12 (+ a +(V BB) 4 aV) = 136BB sint 1 unde fat 12- BB, ut 56 = , a (V+ (1 - p. B ))
  57. ut 20 ~ Bβ et 40 = VY ~ CY-BC) e 60 = a) + a ((y - 39 sit 1) - B (3) = Y. et
  58. fit 1 20 = (B+ 40 = VV + VY
  59. 50 = a +ar 56 = +a) + ar-
  60. Tratomus an sit tres aequationes sacedunt. EAqu fit 2aa YYB- aast B+ 2 a a V FerY BB)V
  61. =aa pC(WD+ Vr) (YDLr = BB) siu ) (2))C eeBt i BC
  62. eV
  63. DB( BB)) quae aequatio est identica ut
  64. Ex oq Ex aeq. deducta ex l et 2 quae est 20. 20)V + 40. 40BB = 2. 20.40)Y, siet sii similiter
  65. yit ppgi p L pe Z e et e AYL- 2β(G8+ (ep ∞Y 1
  66. andem ex aeq. 3 fit (2p.raa ) V + 2B a VL B ay Z 2BBaa)3r- BBac) BBa VVBB
  67. R - BB) Vaa J. 2 BB)) ad BY BCVaa YI Et βB) )aa BB) = ( P) Jeua )V- (() ) a )is B
  68. ae = 2 Y - (YXt 2Xr - β(C) (B P Y) - ( BB) - β. β) +)
  69. aa 3CD + aat B MA + 4 aa )Y B a A aa BC YY CB
  70. 2a). Y Y)A) B(YY Es)
  71. raY. ae
  72. raaBYp agaa BBYY YY4 4aa ((37Y ,(13)
  73. ita succedit calculus, sed nitur inlomulitum fiet enim 1n ad 5b vut 20 ad 50 quod non licet
  74. itaque non oporiet sumer
  75. ta. sisi (d ((
  76. ut 12 = -sβ 20 sed . 56 = 60 faciamus 30 = β. ) + (N- (
  77. =pro + sed pro peo +y12 ot 2 ircha3ga on 43ea + 1 6967
  78. Y. X+ +Cy. 1B), +a et
  79. ad missis hut vocarieus tem mentratur qam adminatim
  80. valoris ipsius Z Depronir 1t pe (β (V+ VCH - C1)
  81. et liasque = -Yaav -
  82. Coa
  83. pmian tre)
  84. 12. 10. 5Pon .301155. 16(35) 16.56. 56, a V
  85. 20. 3a 39 B + 2.30 (12. 20 da 2V 1b. 58 110
  86. 2155. 503B +iacer. 40a
  87. a Cxip vedieo L t C Non a a + (C. 3) se
  88. X V1A) qu (Y L ((.. ))
  89. +30. 50.50bP H 12. 30. a
  90. +20. 50. soC DV
  91. = 2.30.5060hWV
  92. 12.56.56 ac
  93. R-3av7 7 2(7 7aa
  94. pobponatur pro ptonatur3.
  95. inventi sunt valores ipsor
  96. 12 et 36, 20 et 40 50 et 56
  97. et v sibi ipsi, pars parti
  98. =40. 50.50bWV
  99. +40.70B + 40. 71 a vb +. 40. 72 aa B F 1o. 13a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 58v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0116?run=74